Nonlinear Network Description for Many-Body Quantum Systems in Continuous Space - CNRS - Centre national de la recherche scientifique Accéder directement au contenu
Article Dans Une Revue Physical Review Letters Année : 2018

Nonlinear Network Description for Many-Body Quantum Systems in Continuous Space

Michele Ruggeri
Saverio Moroni
  • Fonction : Auteur
  • PersonId : 935093

Résumé

We show that the recently introduced iterative backflow renormalization can be interpreted as a general neural network in continuum space with non-linear functions in the hidden units. We use this wave function within Variational Monte Carlo for liquid 44^4He in two and three dimensions, where we typically find a tenfold increase in accuracy over currently used wave functions. Furthermore, subsequent stages of the iteration procedure define a set of increasingly good wave functions, each with its own variational energy and variance of the local energy: extrapolation of these energies to zero variance gives values in close agreement with the exact values. For two dimensional 44^4He, we also show that the iterative backflow wave function can describe both the liquid and the solid phase with the same functional form -a feature shared with the Shadow Wave Function, but now joined by much higher accuracy. We also achieve significant progress for liquid 33^3He in three dimensions, improving previous variational and fixed-node energies for this very challenging fermionic system.

Dates et versions

hal-02324357 , version 1 (21-10-2019)

Identifiants

Citer

Michele Ruggeri, Saverio Moroni, Markus Holzmann. Nonlinear Network Description for Many-Body Quantum Systems in Continuous Space. Physical Review Letters, 2018, 120 (20), ⟨10.1103/PhysRevLett.120.205302⟩. ⟨hal-02324357⟩

Collections

UGA CNRS LPMMC
18 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More